Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
13001	Find the x and y Intercepts	y=-3sin(x+pi/2)	$y = - 3 \sin (x + \frac{π}{2})$
13002	Find the x and y Intercepts	y=3tan(x)	$y = 3 \tan (x)$
13003	Find the x and y Intercepts	y=-4cos(x)	$y = - 4 \cos (x)$
13004	Find the x and y Intercepts	y=3x+10	$y = 3 x + 10$
13005	Find the x and y Intercepts	y=4cos(3x)	$y = 4 \cos (3 x)$
13006	Find the x and y Intercepts	y=4sin(1/2x)	$y = 4 \sin (\frac{1}{2} x)$
13007	Find the x and y Intercepts	y=-4x-4	$y = - 4 x - 4$
13008	Find the x and y Intercepts	y=-sin(3x)	$y = - \sin (3 x)$
13009	Find the x and y Intercepts	y=sin(2x)	$y = \sin (2 x)$
13010	Find the x and y Intercepts	y=cos(x)-2	$y = \cos (x) - 2$
13011	Find the x and y Intercepts	y = log of x+2	$y = \log (x) + 2$
13012	Find the x and y Intercepts	y=7x-5	$y = 7 x - 5$
13013	Find the x and y Intercepts	y=9sec(x)	$y = 9 \sec (x)$
13014	Find the x and y Intercepts	y=9tan(x)	$y = 9 \tan (x)$
13015	Find the x and y Intercepts	y=sin(5x)	$y = \sin (5 x)$
13016	Find the x and y Intercepts	y=x(x-3)(x+2)	$y = x (x - 3) (x + 2)$
13017	Find the x and y Intercepts	y-8=-4(x-3)	$y - 8 = - 4 (x - 3)$
13018	Find the x and y Intercepts	y-x=0	$y - x = 0$
13019	Find All Complex Number Solutions	2sin(x)- square root of 2=0	$2 \sin (x) - \sqrt{2} = 0$
13020	Find All Complex Number Solutions	2sin(x)+ square root of 3=0	$2 \sin (x) + \sqrt{3} = 0$
13021	Find All Complex Number Solutions	3tan(x)^2=1	$3 \tan^{2} (x) = 1$
13022	Find All Complex Number Solutions	3x(x-1)(x-4)=0	$3 x (x - 1) (x - 4) = 0$
13023	Find All Complex Number Solutions	2x+4=6x-5	$2 x + 4 = 6 x - 5$
13024	Find All Complex Number Solutions	4sin(x)-1=2sin(x)+1	$4 \sin (x) - 1 = 2 \sin (x) + 1$
13025	Find All Complex Number Solutions	log base b of 25=2	$\log_{b} (25) = 2$
13026	Find the x and y Intercepts	y-8=2(x+2)	$y - 8 = 2 (x + 2)$
13027	Find All Complex Number Solutions	log base 2 of 16=4	$\log_{2} (16) = 4$
13028	Find All Complex Number Solutions	2 1/8=17/8	$2 \frac{1}{8} = \frac{17}{8}$
13029	Find All Complex Number Solutions	x^3+27=0	$x^{3} + 27 = 0$
13030	Find All Complex Number Solutions	(k-1)x^2+kx+1=0	$(k - 1) x^{2} + k x + 1 = 0$
13031	Find All Complex Number Solutions	(3/2)=3/(2/( square root of 16-3/2*2))	$(\frac{3}{2}) = \frac{3}{\frac{2}{\sqrt{16 - \frac{3}{2} \cdot 2}}}$
13032	Find All Complex Number Solutions	(r-rcos(b))^2+(rsin(b))^2=s^2	${(r - r \cos (b))}^{2} + {(r \sin (b))}^{2} = s^{2}$
13033	Find All Complex Number Solutions	2e^(2x)+5e^x-3=0	$2 e^{2 x} + 5 e^{x} - 3 = 0$
13034	Find All Complex Number Solutions	x=(5pi)/4	$x = \frac{5 π}{4}$
13035	Find All Complex Number Solutions	cos(2x)cos(x)-sin(2x)sin(x)=( square root of 3)/2	$\cos (2 x) \cos (x) - \sin (2 x) \sin (x) = \frac{\sqrt{3}}{2}$
13036	Solve over the Interval	cos(2x)=-( square root of 3)/2 , (0,2pi)	$\cos (2 x) = - \frac{\sqrt{3}}{2}$ , $(0, 2 π)$
13037	Solve over the Interval	12cos(x-9)^2=0 , 0<x<2pi	$12 \cos^{2} (x - 9) = 0$ , $0 < x < 2 π$
13038	Solve over the Interval	cos(2x)=-1/2 , 0=x<2pi	$\cos (2 x) = - \frac{1}{2}$ , $0 = x < 2 π$
13039	Solve over the Interval	cos(u)=-4/7 , pi/2<u<pi	$\cos (u) = - \frac{4}{7}$ , $\frac{π}{2} < u < π$
13040	Solve over the Interval	cos(x)=-( square root of 3)/2 , [0,2pi]	$\cos (x) = - \frac{\sqrt{3}}{2}$ , $[0, 2 π]$
13041	Solve over the Interval	2sin(x)-1=0 , 0=x=2pi	$2 \sin (x) - 1 = 0$ , $0 = x = 2 π$
13042	Solve over the Interval	2tan(x)^2-4tan(x)-1=0 , 0=x=360	$2 \tan^{2} (x) - 4 \tan (x) - 1 = 0$ , $0 = x = 360$
13043	Solve over the Interval	cos(x)=20/29 , (3pi)/2<x<2pi	$\cos (x) = \frac{20}{29}$ , $\frac{3 π}{2} < x < 2 π$
13044	Find All Complex Number Solutions	z=6+2i	$z = 6 + 2 i$
13045	Solve over the Interval	2(2sin(x)sin(x))sin(x)-3cos(x)=0 , [0,2pi]	$2 (2 \sin (x) \sin (x)) \sin (x) - 3 \cos (x) = 0$ , $[0, 2 π]$
13046	Find All Complex Number Solutions	2cos(x)+ square root of 3=0	$2 \cos (x) + \sqrt{3} = 0$
13047	Find All Complex Number Solutions	sec(x)=- square root of 2	$\sec (x) = - \sqrt{2}$
13048	Find All Complex Number Solutions	cos(x)=0	$\cos (x) = 0$
13049	Find All Complex Number Solutions	sec(30/2)=2	$\sec (\frac{30}{2}) = 2$
13050	Find All Complex Number Solutions	cot(3x)=1	$\cot (3 x) = 1$
13051	Find All Complex Number Solutions	log of 3x = log of 5+ log of x-4	$\log (3 x) = \log (5) + \log (x - 4)$
13052	Find All Complex Number Solutions	cos(pi/6) = square root of 3/2	$\cos (\frac{π}{6}) = \sqrt{\frac{3}{2}}$
13053	Find All Complex Number Solutions	cos(2x)=( square root of 3)/2	$\cos (2 x) = \frac{\sqrt{3}}{2}$
13054	Find All Complex Number Solutions	sin(2x)-cos(x)=0	$\sin (2 x) - \cos (x) = 0$
13055	Find All Complex Number Solutions	tan(2x)-tan(x)+5=0	$\tan (2 x) - \tan (x) + 5 = 0$
13056	Find All Complex Number Solutions	y=sin(x)	$y = \sin (x)$
13057	Find All Complex Number Solutions	z = square root of 3-i	$z = \sqrt{3} - i$
13058	Find All Complex Number Solutions	z=-5	$z = - 5$
13059	Find All Complex Number Solutions	z=5i	$z = 5 i$
13060	Find All Complex Number Solutions	z=-4-3i	$z = - 4 - 3 i$
13061	Find All Complex Number Solutions	z=-1-i	$z = - 1 - i$
13062	Find All Complex Number Solutions	z=\|7i\|	$z = \| 7 i \|$
13063	Find All Complex Number Solutions	z=-3+4i	$z = - 3 + 4 i$
13064	Find All Complex Number Solutions	z=2+2i	$z = 2 + 2 i$
13065	Find All Complex Number Solutions	z=2-5i	$z = 2 - 5 i$
13066	Find All Complex Number Solutions	sin(x)+cos(x)=1	$\sin (x) + \cos (x) = 1$
13067	Find All Complex Number Solutions	sin(2x)=-1	$\sin (2 x) = - 1$
13068	Find All Complex Number Solutions	sin(x)=15/17	$\sin (x) = \frac{15}{17}$
13069	Find All Complex Number Solutions	sin(2x)=-1/2	$\sin (2 x) = - \frac{1}{2}$
13070	Find All Complex Number Solutions	sin(2x)-sin(4x)=0	$\sin (2 x) - \sin (4 x) = 0$
13071	Convert from Degrees to Radians	42 degrees	$42 °$
13072	Solve over the Interval	(sin(x))(-2sin(x))cos(x)=0 , 0=x<2pi	$(\sin (x)) \cdot (- 2 \sin (x)) \cdot \cos (x) = 0$ , $0 = x < 2 π$
13073	Solve over the Interval	cos(2x-pi/2)=1 , 0=x<2pi	$\cos (2 x - \frac{π}{2}) = 1$ , $0 = x < 2 π$
13074	Solve over the Interval	cot(x) = square root of 3 , (0,2pi)	$\cot (x) = \sqrt{3}$ , $(0, 2 π)$
13075	Solve over the Interval	cot(x)=-0.3 , (3pi)/2=x=2pi	$\cot (x) = - 0.3$ , $\frac{3 π}{2} = x = 2 π$
13076	Solve over the Interval	y=4sin((2x)/3) , -3pi=x=6pi	$y = 4 \sin (\frac{2 x}{3})$ , $- 3 π = x = 6 π$
13077	Solve over the Interval	sin(2x)cos(x)-sin(x)=0 , [0,2pi]	$\sin (2 x) \cos (x) - \sin (x) = 0$ , $[0, 2 π]$
13078	Graph	x=arctan(-0.801)	$x = \arctan (- 0.801)$
13079	Graph	1/2 = log of 49^7	$\frac{1}{2} = \log (49^{7})$
13080	Solve over the Interval	tan(x)=18 , 0=0<2pi	$\tan (x) = 18$ , $0 = 0 < 2 π$
13081	Solve over the Interval	y=-1/4*cos(pix+pi/2) , -2.5=x=1.5	$y = - \frac{1}{4} \cdot \cos (π x + \frac{π}{2})$ , $- 2.5 = x = 1.5$
13082	Solve over the Interval	y=2.3/(x+4.5)*sin(pix) , 0=x=2	$y = \frac{2.3}{x + 4.5} \cdot \sin (π x)$ , $0 = x = 2$
13083	Solve over the Interval	y=cos(x/2) , 0=x=2pi	$y = \cos (\frac{x}{2})$ , $0 = x = 2 π$
13084	Solve over the Interval	y=sin(x) , 0=x=2pi	$y = \sin (x)$ , $0 = x = 2 π$
13085	Solve over the Interval	cos(2x)=2-2sin(x)^2 , 0=x<360	$\cos (2 x) = 2 - 2 \sin^{2} (x)$ , $0 = x < 360$
13086	Solve over the Interval	sec(x)=cos(x) , 0=x<2pi	$\sec (x) = \cos (x)$ , $0 = x < 2 π$
13087	Solve over the Interval	sec(x)=2 , 0=x=2pi	$\sec (x) = 2$ , $0 = x = 2 π$
13088	Solve over the Interval	sin(x)=-( square root of 5)/5 , (3pi)/2<x<2pi	$\sin (x) = - \frac{\sqrt{5}}{5}$ , $\frac{3 π}{2} < x < 2 π$
13089	Solve over the Interval	sin(x)=-1/2 , 0=x=2pi	$\sin (x) = - \frac{1}{2}$ , $0 = x = 2 π$
13090	Solve over the Interval	sin(x)=-24/25 , pi<x<(3pi)/2	$\sin (x) = - \frac{24}{25}$ , $π < x < \frac{3 π}{2}$
13091	Solve over the Interval	sin(2x)+cos(x)=0 , (0,2pi)	$\sin (2 x) + \cos (x) = 0$ , $(0, 2 π)$
13092	Solve over the Interval	tan(x/2)-1=0 , 0<x<2pi	$\tan (\frac{x}{2}) - 1 = 0$ , $0 < x < 2 π$
13093	Solve over the Interval	sin(x)=-sin(x)+ square root of 3 , 0=x=2pi	$\sin (x) = - \sin (x) + \sqrt{3}$ , $0 = x = 2 π$
13094	Solve over the Interval	tan(x)- square root of 3=0 , 0=x<2pi	$\tan (x) - \sqrt{3} = 0$ , $0 = x < 2 π$
13095	Graph	x=pi/6	$x = \frac{π}{6}$
13096	Graph	y=2^2	$y = 2^{2}$
13097	Graph	a=4000(1+0.08/12)^(12*16)	$a = 4000 {(1 + \frac{0.08}{12})}^{12 \cdot 16}$
13098	Graph	cos(2x)=-1/2	$\cos (2 x) = - \frac{1}{2}$
13099	Find the Range	cos(2x)=1/2	$\cos (2 x) = \frac{1}{2}$
13100	Find the Range	1/2 = log base 49 of 7	$\frac{1}{2} = \log_{49} (7)$